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122300010012 = 223173781119979
BaseRepresentation
bin111000111100110100…
…1100000111000011100
3102200200022001020002110
41301321221200320130
54000432300310022
6132103413354020
711556464634645
oct1617151407034
9380608036073
10122300010012
114795a192744
121b852038910
13b6c0863c3b
145cc29b86cc
1532abd7a00c
hex1c79a60e1c

122300010012 has 96 divisors (see below), whose sum is σ = 310717451520. Its totient is φ = 37283742720.

The previous prime is 122300009999. The next prime is 122300010013. The reversal of 122300010012 is 210010003221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122300010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300010013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6111439 + ... + 6131417.

It is an arithmetic number, because the mean of its divisors is an integer number (3236640120).

Almost surely, 2122300010012 is an apocalyptic number.

122300010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122300010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155358725760).

122300010012 is an abundant number, since it is smaller than the sum of its proper divisors (188417441508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122300010012 is a wasteful number, since it uses less digits than its factorization.

122300010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20851 (or 20849 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122300010012 its reverse (210010003221), we get a palindrome (332310013233).

The spelling of 122300010012 in words is "one hundred twenty-two billion, three hundred million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 811 1258 1622 1887 2433 2516 3244 3774 4866 7548 9732 13787 19979 27574 30007 39958 41361 55148 59937 60014 79916 82722 90021 119874 120028 165444 180042 239748 339643 360084 510119 679286 739223 1018929 1020238 1358572 1478446 1530357 2037858 2040476 2217669 2956892 3060714 4075716 4435338 6121428 8870676 12566791 16202969 25133582 32405938 37700373 48608907 50267164 64811876 75400746 97217814 150801492 194435628 275450473 550900946 599509853 826351419 1101801892 1199019706 1652702838 1798529559 2398039412 3305405676 3597059118 7194118236 10191667501 20383335002 30575002503 40766670004 61150005006 122300010012